A triangle has side lengths of (2b+c)(2b+c) centimeters, (7b+4d)(7b+4d) centimeters, and (6d+2c)(6d+2c) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

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Answer:

(9b + 3c + 10d)cm

Step-by-step explanation:

Given the sides of a triangle expressed as (2b+c), (7b + 4d) and (6d+2c). The perimeter of the triangle is the sum of all the sides of the triangles.

Perimeter of the triangle = 2b+c + 7b+4d + 6d+2c

Perimeter of the triangle = 2b + 7b + c + 2c + 4d + 6d

Perimeter of the triangle = 9b + 3c + 10d

Hence the perimeter of the triangle is (9b + 3c + 10d)cm

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